42235182144 has 63 divisors (see below), whose sum is σ = 121073662983. Its totient is φ = 14076749952.

The previous prime is 42235182107. The next prime is 42235182149. The reversal of 42235182144 is 44128153224.

The square root of 42235182144 is 205512.

It is a perfect power (a square), and thus also a powerful number.

42235182144 is a `hidden beast` number, since 422 + 3 + 5 + 18 + 214 + 4 = 666.

It is a super-2 number, since 2×42235182144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42235182099 and 42235182108.

It is not an unprimeable number, because it can be changed into a prime (42235182149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4928007 + ... + 4936569.

Almost surely, 2^42235182144 is an apocalyptic number.

42235182144 is the 205512-nd square number.

It is an amenable number.

42235182144 is an abundant number, since it is smaller than the sum of its proper divisors (78838480839).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42235182144 is an frugal number, since it uses more digits than its factorization.

42235182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17144 (or 8568 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

Multiplying 42235182144 by its sum of digits (36), we get a square (1520466557184 = 1233072²).

42235182144 divided by its sum of digits (36) gives a square (1173199504 = 34252²).

The spelling of 42235182144 in words is "forty-two billion, two hundred thirty-five million, one hundred eighty-two thousand, one hundred forty-four".